0.921 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.278 * * * [progress]: [2/2] Setting up program. 0.282 * [progress]: [Phase 2 of 3] Improving. 0.284 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.290 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.291 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.293 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.294 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.295 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.296 * * [progress]: iteration 1 / 4 0.296 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.310 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.320 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.321 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 0.334 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.339 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.340 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.362 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.385 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.392 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.415 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.415 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.450 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.450 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.452 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.452 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.452 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.453 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.453 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.453 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 0.453 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.453 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.486 * * * [progress]: simplifying candidates 0.488 * [simplify]: Simplifying using # : (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.495 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.501 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.523 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.528 * [simplify]: Simplified to: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (fma (pow x 2) 2.0 (- 1.0 (* 2.0 x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) 0.529 * * * [progress]: adding candidates to table 0.730 * * [progress]: iteration 2 / 4 0.730 * * * [progress]: picking best candidate 0.739 * * * * [pick]: Picked # 0.739 * * * [progress]: localizing error 0.748 * * * [progress]: generating rewritten candidates 0.748 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.758 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.762 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.765 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.777 * * * [progress]: generating series expansions 0.777 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.777 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.777 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.777 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.777 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.782 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.782 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.782 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.783 * [taylor]: Taking taylor expansion of 1.0 in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.804 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.804 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.810 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.833 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.833 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.833 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.839 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.867 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.867 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 0.867 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.867 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.869 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.878 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.878 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.889 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.898 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.898 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.899 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.927 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.927 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.927 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.927 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.928 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.928 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.928 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.928 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.929 * * * [progress]: simplifying candidates 0.931 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log1p (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 1) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (+ 1.0 x)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (expm1 (sqrt (- 1.0 x))) (log1p (sqrt (- 1.0 x))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (expm1 (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log1p (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (* (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.942 * * [simplify]: iteration 0 : 372 enodes (cost 1291 ) 0.948 * * [simplify]: iteration 1 : 1144 enodes (cost 1218 ) 0.972 * * [simplify]: iteration 2 : 5001 enodes (cost 1156 ) 0.978 * [simplify]: Simplified to: (expm1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log1p (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (pow (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 3) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (pow (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 3) (/ (- 1.0 x) (+ x 1.0)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (/ (fabs (cbrt (+ 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt 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(expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (expm1 (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log1p (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (pow (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.980 * * * [progress]: adding candidates to table 1.225 * * [progress]: iteration 3 / 4 1.225 * * * [progress]: picking best candidate 1.232 * * * * [pick]: Picked # 1.232 * * * [progress]: localizing error 1.243 * * * [progress]: generating rewritten candidates 1.243 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.290 * * * [progress]: generating series expansions 1.290 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.290 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in (x) around 0 1.290 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in x 1.290 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.290 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.290 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in x 1.296 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.296 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in (x) around 0 1.352 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in x 1.352 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.352 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in x 1.358 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.410 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in (x) around 0 1.410 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in x 1.410 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.419 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.419 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.473 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.473 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.473 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.473 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.473 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.473 * [taylor]: Taking taylor expansion of 1.0 in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.478 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.478 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in (x) around 0 1.502 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.502 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.502 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.502 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.508 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.508 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.508 * [taylor]: Taking taylor expansion of 1.0 in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.508 * [taylor]: Taking taylor expansion of 1.0 in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.531 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.531 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.531 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.537 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of 1.0 in x 1.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.538 * [taylor]: Taking taylor expansion of 1.0 in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.561 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.561 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.561 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.561 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.561 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.566 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.566 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.566 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.566 * [taylor]: Taking taylor expansion of 1.0 in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of 1.0 in x 1.590 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in (x) around 0 1.590 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.590 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.595 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.596 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.619 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.619 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.619 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.619 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.625 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.648 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.648 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.648 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.648 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.649 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in (x) around 0 1.649 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.649 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.650 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.650 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.650 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.650 * * * [progress]: simplifying candidates 1.660 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (log1p (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (* (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (* (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt 3)) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 1) (pow (* (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (+ x 1.0))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (+ x 1.0))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) 1)) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (+ x 1.0))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) 1)) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (+ x 1.0))) 3) (pow (sqrt (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) 3) (pow (sqrt (/ (- 1.0 x) (cbrt (+ x 1.0)))) 3) (pow (sqrt (/ 1 (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (- 1.0 x) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0)))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) 3) (pow (sqrt (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) 3) (pow (sqrt (/ (- 1.0 x) (cbrt (+ x 1.0)))) 3) (pow (sqrt (/ 1 (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (- 1.0 x) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (pow (sqrt 1) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (/ 1 (+ x 1.0))) 3) (pow (sqrt (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))) 3) (pow (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) 3) (pow (sqrt (/ (- 1.0 x) (- (* x x) (* 1.0 1.0)))) 3) (pow (sqrt (- x 1.0)) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow 1 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (* (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (exp (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (* (cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))) (cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (* (* (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (pow (* (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0)))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (sqrt 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(pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.672 * * [simplify]: iteration 0 : 628 enodes (cost 2063 ) 1.682 * * [simplify]: iteration 1 : 1957 enodes (cost 1918 ) 1.710 * * [simplify]: iteration 2 : 5001 enodes (cost 1875 ) 1.721 * [simplify]: Simplified to: (expm1 (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (log1p (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (log (pow 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(sqrt (/ (- 1.0 x) (+ x 1.0))) 3)))) (sqrt (atan (cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)))) (fma (sqrt 1.0) (+ (* 3.0 (pow x 2)) 1.0) (- (* 1.5 (/ (pow x 2) (sqrt 1.0))) (* 3.0 (* x (sqrt 1.0))))) (fma 1.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (fma 3.0 (/ (sqrt -1) x) (pow (sqrt -1) 3)) (* 3.0 (/ (sqrt -1) (pow x 2))))) (fma 1.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (fma 3.0 (/ (sqrt -1) x) (pow (sqrt -1) 3)) (* 3.0 (/ (sqrt -1) (pow x 2))))) (fma 1.0 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0)))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (fma 1.0 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0)))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.723 * * * [progress]: adding candidates to table 2.043 * * [progress]: iteration 4 / 4 2.044 * * * [progress]: picking best candidate 2.048 * * * * [pick]: Picked # 2.048 * * * [progress]: localizing error 2.065 * * * [progress]: generating rewritten candidates 2.065 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 2.075 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 2.082 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.092 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 2.103 * * * [progress]: generating series expansions 2.103 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 2.104 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 2.104 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 2.104 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.104 * [taylor]: Taking taylor expansion of 1.0 in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 2.104 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.104 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of 1.0 in x 2.108 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 2.108 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.108 * [taylor]: Taking taylor expansion of 1.0 in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 2.108 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.108 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [taylor]: Taking taylor expansion of 1.0 in x 2.148 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 2.148 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 2.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.148 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of 1.0 in x 2.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.150 * [taylor]: Taking taylor expansion of 1.0 in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.150 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 2.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.150 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.150 * [taylor]: Taking taylor expansion of 1.0 in x 2.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.152 * [taylor]: Taking taylor expansion of 1.0 in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.172 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 2.172 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.172 * [taylor]: Taking taylor expansion of 1.0 in x 2.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.173 * [taylor]: Taking taylor expansion of 1.0 in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.175 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.175 * [taylor]: Taking taylor expansion of x in x 2.175 * [taylor]: Taking taylor expansion of 1.0 in x 2.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.175 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.175 * [taylor]: Taking taylor expansion of 1.0 in x 2.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.175 * [taylor]: Taking taylor expansion of x in x 2.195 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 2.196 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in (x) around 0 2.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 2.196 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.196 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 2.199 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.199 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of 1.0 in x 2.218 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in (x) around 0 2.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.218 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in (x) around 0 2.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.237 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.239 * [taylor]: Taking taylor expansion of 1.0 in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.251 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.252 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in (x) around 0 2.252 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in x 2.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 2.252 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.252 * [taylor]: Taking taylor expansion of 1.0 in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.254 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ x 1.0)) 1/4) in x 2.254 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ x 1.0))))) in x 2.254 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ x 1.0)))) in x 2.254 * [taylor]: Taking taylor expansion of 1/4 in x 2.254 * [taylor]: Taking taylor expansion of (log (/ 1 (+ x 1.0))) in x 2.254 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.254 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.254 * [taylor]: Taking taylor expansion of x in x 2.254 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in x 2.256 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 2.256 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.259 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ x 1.0)) 1/4) in x 2.259 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ x 1.0))))) in x 2.259 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ x 1.0)))) in x 2.259 * [taylor]: Taking taylor expansion of 1/4 in x 2.259 * [taylor]: Taking taylor expansion of (log (/ 1 (+ x 1.0))) in x 2.259 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.259 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.259 * [taylor]: Taking taylor expansion of x in x 2.259 * [taylor]: Taking taylor expansion of 1.0 in x 2.362 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 2.362 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in x 2.362 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) in x 2.362 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0))))) in x 2.362 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0)))) in x 2.362 * [taylor]: Taking taylor expansion of 1/4 in x 2.362 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 x) 1.0))) in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.362 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.364 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in x 2.366 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) in x 2.366 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0))))) in x 2.366 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0)))) in x 2.366 * [taylor]: Taking taylor expansion of 1/4 in x 2.366 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 x) 1.0))) in x 2.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.366 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.366 * [taylor]: Taking taylor expansion of x in x 2.366 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.432 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in (x) around 0 2.432 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in x 2.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.432 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.432 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of 1.0 in x 2.434 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1.0 (/ 1 x))) 1/4) in x 2.434 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (- 1.0 (/ 1 x)))))) in x 2.434 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (- 1.0 (/ 1 x))))) in x 2.434 * [taylor]: Taking taylor expansion of 1/4 in x 2.434 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 x)))) in x 2.434 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.434 * [taylor]: Taking taylor expansion of 1.0 in x 2.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.434 * [taylor]: Taking taylor expansion of x in x 2.436 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in x 2.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.436 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.437 * [taylor]: Taking taylor expansion of 1.0 in x 2.438 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1.0 (/ 1 x))) 1/4) in x 2.438 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (- 1.0 (/ 1 x)))))) in x 2.438 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (- 1.0 (/ 1 x))))) in x 2.438 * [taylor]: Taking taylor expansion of 1/4 in x 2.438 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 x)))) in x 2.438 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.438 * [taylor]: Taking taylor expansion of 1.0 in x 2.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.509 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 2.510 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.510 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.510 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [taylor]: Taking taylor expansion of 1.0 in x 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.511 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 2.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.520 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.529 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.529 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.531 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.531 * [taylor]: Taking taylor expansion of 1.0 in x 2.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.539 * * * [progress]: simplifying candidates 2.542 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (log1p (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- (log (- 1.0 x)) (log (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (* (* (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- (- 1.0 x)) (- (sqrt (+ 1.0 x))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) 1) (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (expm1 (/ 1 (sqrt (+ 1.0 x)))) (log1p (/ 1 (sqrt (+ 1.0 x)))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (+ 1.0 x)))) (- 0 (log (sqrt (+ 1.0 x)))) (- (log 1) (log (sqrt (+ 1.0 x)))) (log (/ 1 (sqrt (+ 1.0 x)))) (exp (/ 1 (sqrt (+ 1.0 x)))) (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ 1 (sqrt (+ 1.0 x)))) (cbrt (/ 1 (sqrt (+ 1.0 x))))) (cbrt (/ 1 (sqrt (+ 1.0 x)))) (* (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))) (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (- 1) (- (sqrt (+ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt 1) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt 1) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (* 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1.0 x)) (cbrt (+ 1.0 x)))))) (sqrt (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x))))) (sqrt (/ 1 (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x))))) 1 (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x))))) 1 (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x))))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (fabs (/ 1 (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (sqrt (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x))))) (sqrt (/ 1 (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x))))) 1 (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x))))) 1 (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x))) 1/2 (sqrt (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (sqrt (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (fma (sqrt 1.0) 1.0 (- (* 1.0 (/ (pow x 2) (sqrt 1.0))) (fma x (sqrt 1.0) (fma 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ x (sqrt 1.0))))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma 0.5 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (fma 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ x (sqrt 1.0)))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma (pow 1.0 1/4) (+ (sqrt 1.0) (* 0.28125 (* (pow x 2) (sqrt 1.0)))) (- (* 0.125 (* (/ (pow x 2) (sqrt 1.0)) (pow 1.0 1/4))) (fma 1/8 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow 1.0 1/4)) (fma 0.125 (* (* (pow x 2) (sqrt 1.0)) (pow (/ 1 (pow 1.0 7)) 1/4)) (fma 0.25 (* (* x (sqrt 1.0)) (pow 1.0 1/4)) (* 1/2 (* (/ x (sqrt 1.0)) (pow 1.0 1/4)))))))) (fma (- (pow (/ 1 (pow x 5)) 1/4)) +nan.0 (* +nan.0 (- (pow (/ 1 (pow x 9)) 1/4) (pow (/ 1 x) 1/4)))) (fma (- (exp (* 1/4 (+ (log -1) (log (/ -1 x)))))) +nan.0 (* +nan.0 (- (/ (exp (* 1/4 (+ (log -1) (log (/ -1 x))))) (pow x 2)) (/ (exp (* 1/4 (+ (log -1) (log (/ -1 x))))) x)))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.615 * * * [progress]: adding candidates to table 3.029 * [progress]: [Phase 3 of 3] Extracting. 3.030 * * [regime]: Finding splitpoints for: (# # # #) 3.031 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) x) 3.031 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# # # #) 3.052 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# # # #) 3.069 * * * * [regimes]: Trying to branch on x from (# # # #) 3.086 * * * [regime]: Found split indices: #